Can I wait until the end of May to transfer stamps to my new UK passport and do my 90-day report in Thailand?

Again with the questions.

I will receive my new UK passport at the end of April, maybe a little earlier.

My 90 day report is due latest 4 June, can I wait till then or earlier say 10-15 days to:

a) have the stamps transferred to the new passport and same day,

b) do the 90 day report on the new passport?

Thanks Guys